Details

Time bar (total: 1.8s)

analyze41.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
18.7%56.2%25.1%5
28.1%34.3%37.6%6
34.3%28.1%37.6%7
39%17.2%43.8%8
41%13.7%45.4%9
43.1%8.4%48.5%10
44%6.7%49.3%11
45%4.1%50.8%12
45.4%3.3%51.2%13
45.9%2.1%52%14

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02258
12258

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

simplify40.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04928360
14928360

prune64.0ms

Filtered
32 candidates to 42 candidates (-31.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
4.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
6.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05020626

prune96.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh325
Picked101
Done011
Total1007107

Merged error: 0b

Counts
107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
0.1b
(sqrt (sqrt x))
0.2b
(* y (pow x 1/4))
0.3b
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
9×add-log-exp
8×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp sum-log *-commutative sqr-pow
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log pow-prod-down flip-+
Counts
4 → 83
Calls
4 calls:
7.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
2.0ms
(sqrt (sqrt x))
5.0ms
(* y (pow x 1/4))
7.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (- 1.0 x) (* (* y (pow x 1/4)) (sqrt (sqrt x))))
14.0ms
(sqrt (sqrt x))
14.0ms
(* y (pow x 1/4))
12.0ms
(* (* y (pow x 1/4)) (sqrt (sqrt x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05071884

prune123.0ms

Filtered
63 candidates to 95 candidates (-50.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done011
Total957102

Merged error: 0b

Counts
102 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt (sqrt x))))
0.3b
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative
2×rem-sqrt-square pow1/2
Counts
4 → 103
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
7.0ms
(* y (sqrt (sqrt (sqrt x))))
18.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
12.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt x))
12.0ms
(* y (sqrt (sqrt (sqrt x))))
6.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
11.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify38.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05621848

prune89.0ms

Filtered
63 candidates to 115 candidates (-82.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh134
Picked011
Done022
Total1157122

Merged error: 0b

Counts
122 → 7

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0198
1198

end0.0ms

sample733.0ms

Algorithm
intervals
Results
217.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid

Profiling

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